N is the product of all the prime numbers less than 100.

Determine the last three digits of N.

*** For an extra challenge, solve this puzzle without the aid of a computer program.

list
   10   P=2:N=1
   20   while P<100
   30     N=N*P:print P;
   40     P=nxtprm(P)
   50   wend
   60   print:print N
OK
run
 2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73 79  83  89  97
 2305567963945518424753102147331756070
OK

Posted by Charlie on 2011-10-19 14:46:38